Summary of the invention
The objective of the invention is to set up working roll and the backing roll roller footpath designing technique that a cover is fit to high-strength steel planishing mill, require designed working roll that goes out and backing roll roller footpath can guarantee the strip shape quality of smooth product, can reduce the roller consumption of working roll and backing roll in the high-strength steel formation process again, can also satisfy being flattened the requirement of high-strength steel mechanical performance of products.
To achieve these goals, the present invention has adopted following technical scheme, and the step of being carried out by computer system is:
(a) collect roller to be designed high-strength steel planishing mill product thickness scope (H directly
Min~H
Max), width range (B
Min~B
Max), extensibility scope (ε
Min~ε
Max) and the intensity σ of plow-steel
S0
(b) relevant feature parameters of the high-strength steel planishing mill in collection roller to be designed footpath comprises that the maximum draught pressure that long L, the planisher of the body of roll of working roll and backing roll allowed is P
Max
(c) according to product mix, according to certain rule with all product groupings;
(d) optimizing of single formation process working roll and backing roll roller footpath parameter;
(e) Synthetical Optimization of high-strength steel planishing mill working roll and backing roll roller footpath parameter.
Product grouping described in the said method is meant thickness is divided into m by a fixed step size
1Individual typical value { H
1, H
2..., H
M1, width is divided into m by certain step-length
2Individual typical value { B
1, B
2..., B
M2, extensibility is divided into m by a fixed step size
3Individual typical value { ε
1, ε
2..., ε
M3.Like this, in the condition of production of all specification products of high-strength steel planishing mill under different extensibility in fact just will designing all is encompassed in, come to m
1M
2M
3The situation of kind, and available following formula is represented:
C
n={H
i,B
j,ε
k i=1,2,…,m
1;j=1,2,…,m
2;k=1,2,…,m
3}
n=1,2,…,m
1·m
2·m
3
Described in the said method in the single formation process optimizing of working roll and backing roll roller footpath parameter comprise the following step of carrying out by computer system:
1) given working roll and backing roll roller footpath initial value X
0
2) make working roll and backing roll roller footpath X=X
0
3) calculate the cross direction profiles value σ of this formation process forward pull
1i, roll gap pressure distribution value q
i
4) calculate the objective function F (X) that single formation process roller directly designs;
5) judge whether the Powell condition is set up,, adjust working roll and backing roll roller footpath initial value X if be false
0, repeat above-mentioned steps 2), 3), 4), set up until the Powell condition, finish to calculate, the working roll that draws single formation process and backing roll roller be parameter directly.
Working roll described in the said method and backing roll roller footpath initial value X
0Can be given according to following rule:
D
b0=(0.6~0.8)L
D
w0=(0.286~0.4)D
b0
In the formula: D
W0, D
B0The initial diameter of-working roll and backing roll
The cross direction profiles value σ of forward pull described in the said method
1mi, roll gap pressure distribution value q
MiDuring calculating, relevant pacing items is as follows: the total tension force T in front and back
1=T
2=0.2 σ
S0Friction factor is got μ=0.2; The strength of materials is got σ
s=1.1 σ
S0The convexity Δ H of band supplied materials
iDistribution approximate press the quafric curve processing; The size of ratio convexity can value be 0.01 rule of thumb; The plate shape of supplied materials is thought good, promptly gets L
i=0; Working roll and backing roll are pressed plain-barreled roll and are handled, and promptly get Δ D
Wi=0, Δ D
Bi=0; Bending roller force is then got the ground state bending roller force, even S=0.
The objective function F (X) that single formation process roller directly designs described in the said method can be represented with following formula:
In the formula:
X={D
w,D
b}
g
1(X,C
n)=(max(σ
1in)-min(σ
1in))/T
1
g
2(X,C
n)=(max(q
in)-min(q
in))/ q
The average roll gap pressure of q-;
α-weighting coefficient generally gets 0.35
G in objective function F (X)
1(X) represent plate shape index, and g
2(X) then represent the cross direction profiles uniformity coefficient index of roll gap pressure.In constraint condition, why get D
w=D
w+ D
w5%, be the loaded vehicle rate of considering working roll.
The Synthetical Optimization of working roll of high-strength steel planishing mill described in the said method and backing roll roller footpath parameter comprises the following step of being carried out by computer system:
1) given working roll and backing roll roller footpath initial value X
0
2) make working roll and backing roll roller footpath X=X
0
3) calculate the cross direction profiles value σ of forward pull in each single formation process
1mi, roll gap pressure distribution value q
Mi
4) calculate the objective function F that each single formation process central roll directly designs
m(X);
5) calculate complex optimum objective function G (X);
6) judge whether the Powell condition is set up,, adjust working roll and backing roll roller footpath initial value X if be false
0, repeat above-mentioned steps 2), 3), 4) and step 5), set up until the Powell condition, finish to calculate the directly Synthetical Optimization of parameter of roller and backing roll roller of finishing the work.
The objective function of complex optimum described in said method G (X) can represent with following formula:
In the formula: m=m
1M
2M
3
A
0-weighting coefficient generally gets 0.35
Should be noted that single formation process C
nThe optimization result, the planisher roller of reality is directly designed without any guiding value, because in actual production process, can not all design a cover roll for each operation of rolling.Therefore, the roller footpath optimizing design scheme that really is of practical significance, be by a given proper operation roller and backing roll roller footpath, make that (in actual production, the general product of frequent m specification of producing of selecting is optimized roll, and should be weighted according to its probability of occurrence at the product of rolling all specifications, the frequent product of producing, weighting coefficient is obtained big more) time, plate shape is all fine, and roll gap pressure is all very even, mechanical property also can meet the demands.
Embodiment
Embodiment 1
Can know that according to rolling therory total draught pressure of high-strength steel planishing mill can be represented with the function shown in the following formula:
P=f(D
w,B,H,ε,σ
s,T
1,T
0,μ)
In the formula: the total draught pressure of P-;
D
w-work roll diameter;
The B-strip width;
The supplied materials thickness of H-band;
ε-smooth extensibility;
σ
s-the strength of materials;
T
1, T
0-front and back tension force;
μ-friction factor.
In the design process of roller footpath, can make tension force T
1=T
2=0.2 σ
S0According to the characteristics of planisher, friction factor is got μ=0.2 simultaneously.At last according to the production outline, and consider the fluctuation of material property, the intensity of drawing materials σ
s=1.1 σ
S0Like this, following formula just can be expressed as:
P=f(D
w,B,H,ε)
Can know the forward pull σ of band in the operation of rolling according to pertinent literature
1i, roll gap pressure q
iThe available following formula function representation of difference:
σ
1i=f
1(H,ΔH
i,P,L
i,B,T
0,T
1,S,D
w,ΔD
wi,D
b,ΔD
bi)
q
i=f
2(H,ΔH
i,P,L
i,B,T
0,T
1,S,D
w,ΔD
wi,D
b,ΔD
bi)
In the formula:
Δ H
iThe convexity degree cross direction profiles value of-band supplied materials;
L
i-expression comes the length cross direction profiles value of flitch shape;
D
b-backing roll diameter;
The S-bending roller force;
Δ D
Wi-working roller distributes;
Δ D
Bi-backing roll roll shape distributes.
In the design process of roller footpath, for the convexity Δ H of band supplied materials
iDistribution can be similar to by quafric curve and handle, the size of ratio convexity can value be 0.01 rule of thumb; The plate shape of supplied materials is thought good, promptly gets L
i=0; Simultaneously, press the plain-barreled roll processing, promptly get Δ D for working roll and backing roll
Wi=0, Δ D
Bi=0; Bending roller force is then got the ground state bending roller force, even S=0.Like this, correlation formula just can be expressed as:
σ
1i=f
1(H,P,B,D
w,D
b)
q
i=f
2(H,P,B,D
w,D
b)
The draught pressure formula is updated to following formula to be got:
σ
1i=f
3(H,ε,B,D
w,D
b)
q
i=f
4(H,ε,B,D
w,D
b)
Roller directly designs for convenience, according to product mix, thickness can be divided into m by certain rule
1Individual typical value { H
1, H
2..., H
M1, width is divided into m by certain rule
2Individual typical value { B
1, B
2..., B
M2, extensibility is divided into m by certain rule
3Individual typical value { ε
1, ε
2..., ε
M3.Like this, all the specification products of high-strength steel planishing mill in fact just will designing under different extensibility the condition of production all be encompassed in, come to m
1M
2M
3The situation of kind, available following formula is represented:
C
n={H
i,B
j,ε
k i=1,2,…,m
1;j=1,2,…,m
2;k=1,2,…,m
3}
n=1,2,…,m
1·m
2·m
3
Obviously, for any one specific skin pass rolling situation C
n, can know through simple analysis, when other parameters are set by the rule of introducing above, its forward pull σ
1i, roll gap pressure q
iThe diameter D that just is decided by working roll
wDiameter D with backing roll
b, and can further represent with following formula:
σ
1in=f
3(D
w,D
b,C
n)
q
in=f
4(D
w,D
b,C
n)
Like this, for single specification, carry out smoothly in order to make formation process, take into account plate shape under the prerequisite that product satisfies mechanical property constraint and consume problem with roller satisfying, the objective function that roller directly can be designed can simply be defined as:
X={D in the formula
w, D
b}
g
1(X,C
n)=(max(σ
1in)-min(σ
1in))/T
1
g
2(X,C
n)=(max(q
in)-min(q
in))/ q
The average roll gap pressure of q-;
α-weighting coefficient
G in the formula objective function
1(X) represent plate shape index, and g
2(X) then represent the cross direction profiles uniformity coefficient index of roll gap pressure.In constraint condition, why get D
w=D
w+ D
w5%, be the loaded vehicle rate of considering working roll.
Fig. 2 is according to the working roll of the specific formation process high-strength steel planishing mill of the embodiment of the invention 1 and backing roll roller footpath parameter designing calculation flow chart.This embodiment is used to the optimizing of single smooth formation process working roll and backing roll roller footpath parameter.Below provided and adopted working roll and backing roll roller footpath parameter designing process and the result of calculation of the inventive method a certain high-strength steel planishing mill:
At first in step 21, at first according to product mix (seeing Table 1), according to certain rule with all product groupings:
Table 1 high-strength steel planishing mill product mix
Parameter name | Numerical range |
The long L/mm strip width of body of roll scope B/mm thickness of strip scope H/mm extensibility scope ε/% product strength σ
s/ Mpa mill speed v/mmin
-1 | 1580 500-1450 1.0-6.0 0.5-1.5 800 500-600 |
Wherein, thickness grouping situation be 1.0,1.2,1.4 ..., 5.8,6.0}, i.e. m
1=25
Width grouping situation be 500,550,600 ..., 1400,1450}, i.e. m
2=20
Extensibility grouping situation be 0.5,0.6,0.7 ..., 1.4,1.5}, i.e. m
3=11
Subsequently, in step 22, the total tension force in given front and back, friction factor, supplied materials convexity, come initial set value such as flitch shape, bending roller force roll shape, its cardinal rule is the total tension force T in front and back
1=T
2=0.2 σ
S0Friction factor is got μ=0.2; The strength of materials is got σ
s=1.1 σ
S0The convexity Δ H of band supplied materials
iDistribution approximate press the quafric curve processing; The size of ratio convexity can value be 0.01 rule of thumb; The plate shape of supplied materials is thought good, promptly gets L
i=0; Working roll and backing roll are pressed plain-barreled roll and are handled, and promptly get Δ D
Wi=0, Δ D
Bi=0; Bending roller force is then got the ground state bending roller force, even S=0.
Subsequently, in step 23, provide the initial value X of work roll diameter and backing roll diameter
0={ D
W0, D
B0, and with X
0Given according to following rule:
D
b0=(0.6~0.8)L
D
w0=(0.286~0.4)D
b0
Subsequently, in step 24, make working roll and backing roll roller footpath parameter X=X
0, i.e. X={1106,331}
Subsequently, in step 25, calculate specific skin pass rolling situation C
nThe cross direction profiles value σ of the forward pull of following correspondence
1i, roll gap pressure distribution value q
i, suppose C
n=1.0,500,0.5}
Subsequently, in step 26, calculate the used objective function F (X) of roller footpath optimal design.
In step 27, judge whether the Powell condition is set up subsequently,, adjust working roll and backing roll roller footpath initial value X if be false
0, repeat above-mentioned steps 24), 25), 26), set up until the Powell condition, finish to calculate, the optimum working roll that draws single formation process and backing roll roller be parameter directly.
Subsequently, in step 28, export the optimum working roll and the backing roll roller footpath parameter of single formation process, X={1200,400}.
Embodiment 2
Obviously, can know single formation process C by analysis
nThe optimization result, the planisher roller of reality is directly designed without any guiding value, because in actual production process, can not all design a cover roll for each operation of rolling.Therefore, the roller footpath optimizing design scheme that really is of practical significance, be by a given optimal working roller and backing roll roller footpath, make that (in actual production, the general product of frequent m specification of producing of selecting is optimized roll at the product of rolling all specifications, and should be weighted according to its probability of occurrence, the frequent product of producing, weighting coefficient is obtained big more) time, plate shape is all fine, and roll gap pressure is all very even, and mechanical property meets the demands simultaneously.At this moment, the objective function of optimization design function should be represented with following formula:
In the formula: A
0-weighting coefficient generally gets 0.35
Fig. 3 be according to the embodiment of the invention 2 the working roll and the backing roll comprehensive Design calculation flow chart of high-strength steel planishing mill.This embodiment is used to the comprehensive Design in high-strength steel planishing mill working roll and backing roll roller footpath and calculates.Below provided and adopted working roll and backing roll roller footpath parameter designing process and the result of calculation of the inventive method a certain high-strength steel planishing mill:
In step 31, at first, thickness is divided into m by a fixed step size according to product mix (seeing Table 2)
1Individual typical value { H
1, H
2..., H
M1, width is divided into m by certain step-length
2Individual typical value { B
1, B
2..., B
M2, extensibility is divided into m by a fixed step size
3Individual typical value { ε
1, ε
2..., ε
M3.Like this, all the specification products of high-strength steel planishing mill in fact just will designing under different extensibility the condition of production all be encompassed in, come to m
1M
2M
3The situation of kind, and available following formula is represented:
C
n={H
i,B
j,ε
k i=1,2,…,m
1;j=1,2,…,m
2;k=1,2,…,m
3}
n=1,2,…,m
1·m
2·m
3
Table 2 high-strength steel planishing mill product mix
Parameter name | Numerical range |
The long L/mm strip width of body of roll scope B/mm thickness of strip scope H/mm extensibility scope ε/% product strength σ
s/ Mpa mill speed v/mmin
-1 | 1580 500-1450 1.0-6.0 0.5-1.5 800 500-600 |
Wherein, thickness grouping situation be 1.0,1.2,1.4 ..., 5.8,6.0}, i.e. m
1=25
Width grouping situation be 500,550,600 ..., 1400,1450}, i.e. m
2=20
Extensibility grouping situation be 0.5,0.6,0.7 ..., 1.4,1.5}, i.e. m
3=11
Subsequently, in step 32, the total tension force in given front and back, friction factor, supplied materials convexity, come initial set value such as flitch shape, bending roller force roll shape, its cardinal rule is the total tension force T in front and back
1=T
2=0.2 σ
S0Friction factor is got μ=0.2; The strength of materials is got σ
s=1.1 σ
S0The convexity Δ H of band supplied materials
iDistribution approximate press the quafric curve processing; The size of ratio convexity can value be 0.01 rule of thumb; The plate shape of supplied materials is thought good, promptly gets L
i=0; Working roll and backing roll are pressed plain-barreled roll and are handled, and promptly get Δ D
Wi=0, Δ D
Bi=0; Bending roller force is then got the ground state bending roller force, even S=0.
Subsequently, in step 33, provide the initial value X of work roll diameter and backing roll diameter
0={ D
W0, D
B0, and with X
0Given according to following rule:
D
b0=(0.6~0.8)L
D
w0=(0.286~0.4)D
b0
Subsequently, in step 34, make working roll and backing roll roller footpath parameter X=X
0,, i.e. X={1106,331}
Subsequently, in step 35, calculate specific skin pass rolling situation C
nThe cross direction profiles value σ of forward pull in each single formation process of following correspondence
1ni, roll gap pressure distribution value q
Ni, its calculation expression is:
σ
1in=f
3(D
w,D
b,C
n)
q
in=f
4(D
w,D
b,C
n)
Subsequently, in step 36, calculate the used objective function F of single formation process roller footpath optimal design
n(X), as shown in the formula shown in (27):
In the formula: X={D
w, D
b}
g
1(X,C
n)=(max(σ
1in)-min(σ
1in))/T
1
g
2(X,C
n)=(max(q
in)-min(q
in))/ q
The average roll gap pressure of q-;
α-weighting coefficient
Subsequently, in step 37, calculate comprehensive high-strength steel planishing mill roller footpath complex optimum objective function G (X).
In step 38, judge whether the Powell condition is set up subsequently,, adjust working roll and backing roll roller footpath initial value X if be false
0, repeat above-mentioned steps 34), 35), 36), 37), set up until the Powell condition, finish to calculate, the optimum working roll that draws and backing roll roller be parameter directly.
Subsequently, in step 39, the working roll of output behind the complex optimum and backing roll roller footpath parameter, X={1250,430}, the best roller that Here it is is fit to this high-strength steel planishing mill is parameter directly.